$\"\"$

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the point-slope line equation $\"\"$ . where m is the slope.

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First find the slope of the line.

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$\"\"$

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$\"\"$ (Substitute 5 for x₁, $\"\"$ 1 for y₁, $\"\"$ 3 for x₂ and 4 for y₂)

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$\"\"$ (Product of two same signs is positive)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Add: $\"\"$ )

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$\"\"$

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$\"\"$

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Next find the point-slope line equation $\"\"$ .

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$\"\"$ (Substitute 5 for x₁, $\"\"$ 1 for y₁_and_{$\"\"$ )}

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$\"\"$ (Product of two same signs is positive) $\"\"$

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$\"\"$ (Multiply each side by 8)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$

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$\"\"$ (Subtract 8 from each side)

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$\"\"$ (Additive inverse proeprty: $\"\"$ )

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$\"\"$ (Additive identity proeprty: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$

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$\"\"$ (Divide each side by 8)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Simplify) $\"\"$

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The point-slope line equation is $\"\"$ .

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